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Shilgalis, Thomas W. – Mathematics Teacher, 1989
Discusses a calculation method to approximate pi. Describes how to get an approximation to the circumscribed and inscribed perimeters of regular polygons of n sides. Presents the computer program and result of the approximation. (YP)
Descriptors: College Mathematics, Computation, Computer Software, Geometric Concepts
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Maruszewski, Richard F., Jr. – Mathematics and Computer Education, 1991
Described are ways that specific concepts from abstract algebra can be programed using the software package features of the Ada Programming Language, which is the primary language of the Department of Defense. Included are typical programs with their respective outputs. (JJK)
Descriptors: College Mathematics, Computer Assisted Instruction, Computer Software, Higher Education
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King, Amy C.; Wilson, Joel E. – School Science and Mathematics, 1991
The purpose of this paper is to show, by computer examples, that very different results can be obtained by rearranging selected conditionally convergent series. Computer programs allow the students to select the real number to which they wish the rearrangement to converge. Two computer programs are appended. (KR)
Descriptors: Calculus, College Mathematics, Computation, Computer Assisted Instruction
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Neidinger, Richard D. – College Mathematics Journal, 1989
Described are several programs that enable the user to evaluate derivatives to order n of any elementary function by using the combination of automatic differentiation method and A Programming Language (APL). Programs calculating first- and higher-order derivatives are presented. Selected APL symbols are appended. (YP)
Descriptors: College Mathematics, Computer Software, Computer Uses in Education, Higher Education
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Cowles, Mary Jane – Journal of Computers in Mathematics and Science Teaching, 1988
Presents an example of a proof to the mathematical problem of the sum of the cubes of the digits. Provides a Pascal program to search for these results. (MVL)
Descriptors: College Mathematics, Computer Software, Computer Uses in Education, Mathematical Applications
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Mathews, John – Mathematics and Computer Education, 1989
Uses muMATH to illustrate the step-by-step process in translating mathematical theory into the symbolic manipulation setting. Shows an application of a Picard iteration which uses a computer to generate a sequence of functions which converge to a solution. (MVL)
Descriptors: College Mathematics, Computer Oriented Programs, Computer Uses in Education, Mathematical Applications
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Sorkin, Sylvia J. – Mathematics and Computer Education, 1991
Presented is a way to provide students with a review and an appreciation of the versatility of pointers in data structures by improvising with binary trees. Examples are described using the Pascal programing language. (KR)
Descriptors: Algorithms, College Mathematics, Computer Science Education, Computer Software
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Parris, Richard – College Mathematics Journal, 1991
This article, which is organized around a single, well-known algorithm for root extraction, presents a way of incorporating dynamical systems into the teaching of mathematics. Included are sample exercises using complex numbers and the computer where students have the opportunity to do some analysis on this algorithm. (KR)
Descriptors: Algorithms, Chaos Theory, College Mathematics, Equations (Mathematics)
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Lopez, Antonio M., Jr. – Mathematics and Computer Education, 1991
The programing language PROLOG is compared to LOGO in terms of its ability to handle mathematical ideas. This is demonstrated by using PROLOG in solving a geometric theorem and two lemmas. The listings of the computer programs used to solve the problems are included. (KR)
Descriptors: College Mathematics, Computer Assisted Instruction, Computer Software, Geometric Concepts
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Hart, Derek; Roberts, Tony – Mathematics in School, 1989
This paper describes a computer simulation of Buffon's needle problem. The problem considers the probability that a needle will cross a line when the needle is thrown in a random way onto the parallel lines a certain distance apart. The paper provides the algorithm and computer program. (YP)
Descriptors: College Mathematics, Computer Simulation, Computer Software, Computer Uses in Education
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Schaefer, Paul – Journal of Computers in Mathematics and Science Teaching, 1989
Provides a program listing in True BASIC which constructs several kinds of matrices: (1) matrices with integral entries that have inverses that have integral entries; (2) matrices with integral entries that have inverses that are rational numbers with reasonable denominators; and (3) matrices with integral entries and prescribed integer…
Descriptors: Algebra, College Mathematics, Computer Oriented Programs, Computer Software
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Sprows, David – Mathematics and Computer Education, 1989
A FORTRAN program is provided for use with computer projects for a course in number theory. Uses diminishing functions and the speed of the computer to quickly determine possible solutions to problems. (MVL)
Descriptors: College Mathematics, Computer Oriented Programs, Computer Uses in Education, Courseware
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Aslan, Farhad; Duck, Howard – School Science and Mathematics, 1992
P-adic or g-adic sets are sets of elements formed by linear combinations of powers of p, a prime number, or g, a counting number, where the coefficients are whole numbers less than p or g. Discusses exercises illustrating basic numerical operations for p-adic and g-adic sets. Provides BASIC computer programs to verify the solutions. (MDH)
Descriptors: Addition, Algebra, Algorithms, College Mathematics
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Nagarkatte, Umesh P.; Nagarkatte, Shailaja U. – Mathematics and Computer Education, 1989
Identifies and proves two theorems related to expressing rational numbers in decimal form for any natural base m>1. Includes two BASIC computer programs with sample runs. (MVL)
Descriptors: College Mathematics, Computer Oriented Programs, Computer Software, Computer Uses in Education
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Nievergelt, Yves – College Mathematics Journal, 1991
Presented are exercises that demonstrate the application of standard concepts in the design of algorithms for plotting certain fractals. The exercises can be used in any course that explains the concepts of bounded or unbounded planar sets and may serve as an application in a course on complex analysis. (KR)
Descriptors: Chaos Theory, College Mathematics, Fractals, Graphing Calculators
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